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11322443000 = 2353115319421
BaseRepresentation
bin10101000101101111…
…01100010011111000
31002020002011200212202
422202313230103320
5141142021134000
65111303125332
7550403114621
oct124267542370
932202150782
1011322443000
114890251010
12223ba43848
1310b598281b
14795a46a48
15464032dd5
hex2a2dec4f8

11322443000 has 128 divisors (see below), whose sum is σ = 29449967040. Its totient is φ = 4039360000.

The previous prime is 11322442997. The next prime is 11322443009. The reversal of 11322443000 is 34422311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322443009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573290 + ... + 592710.

Almost surely, 211322443000 is an apocalyptic number.

11322443000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724983520).

11322443000 is an abundant number, since it is smaller than the sum of its proper divisors (18127524040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11322443000 is a wasteful number, since it uses less digits than its factorization.

11322443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19506 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11322443000 its reverse (34422311), we get a palindrome (11356865311).

The spelling of 11322443000 in words is "eleven billion, three hundred twenty-two million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 1000 1060 1100 1166 1325 1375 2120 2200 2332 2650 2750 2915 4664 5300 5500 5830 6625 10600 11000 11660 13250 14575 19421 23320 26500 29150 38842 53000 58300 72875 77684 97105 116600 145750 155368 194210 213631 291500 388420 427262 485525 583000 776840 854524 971050 1029313 1068155 1709048 1942100 2058626 2136310 2427625 3884200 4117252 4272620 4855250 5146565 5340775 8234504 8545240 9710500 10293130 10681550 11322443 19421000 20586260 21363100 22644886 25732825 26703875 41172520 42726200 45289772 51465650 53407750 56612215 90579544 102931300 106815500 113224430 128664125 205862600 213631000 226448860 257328250 283061075 452897720 514656500 566122150 1029313000 1132244300 1415305375 2264488600 2830610750 5661221500 11322443000